The Strawson text is divided into 3§

§1 Uniquely Referring Use

Strawson introduces 4 classes of expression, and uniquely referring uses.
^ of the above we care most about “phrases beginning with the definite article followed by a noun.”

“The whale struck the ship”, in this case both are uniquely referring uses.

Russell on logical vs. grammatical distinctions

(halfway through p.5) Strawson says “according to Russell, anyone who asserts S is also asserting (1), (2), (3)”

α = ∃x(Fx ∧ ∀y(Fy → x = y) ∧ Gx)
Where
F(x) → x is the king of france
G(x) → x is wise

If α is True, then Strawson and Russell agree; the disagreement lies in when the sentence is False.